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Статья
2015

Projection method for integral operators with homogeneous kernels perturbed by one-sided multiplicative shifts


O. G. AvsyankinO. G. Avsyankin
Русская математика
https://doi.org/10.3103/S1066369X15020024
Abstract / Full Text

We obtain the applicability criteria of the projection method to multidimensional integral operators with homogeneous kernels perturbed by operators of one-sided multiplicative shifts.

Author information
  • Southern Federal University, ul. Mil’chakova 8a, Rostov-on-Don, 344090, RussiaO. G. Avsyankin
References
  1. Karapetiants, N. and Samko, S. Equations with Involutive Operators (Birkhäuser, Boston, Basel, Berlin, 2001).
  2. Avsyankin, O. G. and Karapetiants, N. K. “The Projection Method in the Theory of Integral Operators with Homogeneous Kernels,” Math. Notes 75, No. 1–2, 149–157 (2004).
  3. Avsyankin, O. G. “On Noetherian Property of Multidimensional Integral Operators with Homogeneous and Quasi-homogeneous Kernels,” Russian Mathematiks (Iz. VUZ) 50, No. 11, 1–8 (2007).
  4. Avsyankin, O. G. “On the Spectra and Singular Values of Multidimensional Integral Operators with Bihomogeneous Kernels,” Sib. Math. J. 49(3), 389–394 (2008).
  5. Avsyankin, O. G. “On a C*-algebra Generated by Multidimensional Integral Operators with Homogeneous Kernels and Multiplicative Shift Operators,” Dokl. Math. 77(2), 298–299 (2008).
  6. Avsyankin, O. G. “On Multidimensional Integral Operators with Homogeneous Kernels Perturbed by One-Sided Multiplicative Shift Operators,” Vladikavkaz Mat. Zh. 15(1), 1–5 (2013).
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